For a century, the Schrödinger equation has been the bedrock of quantum mechanics, successfully predicting how matter behaves as a wave. Yet, physics has lacked a fundamental explanation for why ...

Curvature equations lie at the heart of differential geometry and the analysis of hypersurfaces, providing a rigorous framework for understanding the intrinsic and extrinsic geometric properties of ...

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...